To find the composite functions (fog)(x) and (gof)(x) using the given functions f(x) = 2x - 4 and g(x) = 2, we substitute one function into the other based on the order indicated. (fog)(x) = 0, (gof)(x) = 2, (fog)(7) = 0, and (gof)(7) = 2.
The value of (fog)(7) and (gof)(7) can be determined by evaluating the composite functions at x = 7.
a. To find (fog)(x), we substitute g(x) into f(x): (fog)(x) = f(g(x)) = f(2). Since g(x) = 2, we replace g(x) with 2 in f(x): f(2) = 2(2) - 4 = 4 - 4 = 0. Therefore, (fog)(x) = 0.
b. To find (gof)(x), we substitute f(x) into g(x): (gof)(x) = g(f(x)) = g(2x - 4). Since f(x) = 2x - 4, we replace f(x) with 2x - 4 in g(x): g(2x - 4) = 2. Therefore, (gof)(x) = 2.
c. To find (fog)(7), we evaluate (fog)(x) at x = 7: (fog)(7) = 0.
d. To find (gof)(7), we evaluate (gof)(x) at x = 7: (gof)(7) = 2.
Therefore, (fog)(x) = 0, (gof)(x) = 2, (fog)(7) = 0, and (gof)(7) = 2.
Learn more about composite functions here :
https://brainly.com/question/30143914
#SPJ11
5. A statue that cast a shadow that is 7 feet long. A 5 ſt person looking at it cast a shadow that 2.5 feet long. How tall is that person?
Barbara Brach earns $535 per week.She is single and claims 1 allowance.Use fit table below to find her Federal Income Tax witholding.Her state tax rate 2.8 percent and her local tax rate is 1.25 percent, both on gross earnings.Her medical insurance plan costs $2,550 per year, of which the company pays 70 percent.Medicare (1.45%) and Social Security (6.2%) are also deducted from her paycheck.What is her net pay?
MUST SHOW WORK
Answer:
23
Step-by-step explanation:
is cube of a number ending in 5 may or may not end in 5. True or false.
9. You have worked all summer long and saved $1240.
You want to buy a car that costs $5400. How much
money, m, do you need before you can buy the car?
10.
at y
you
Answer:
the answer is 4160
Step-by-step explanation:
because if you subtract 5400 by the money you worked for that is your sum yw xx.
Answer:
Step-by-step explanation:
We have to subtract the amount of money that you have earned by the amount of money that the car costs.
$5400-$1240 is $4160
So you need $4160 more money to buy the car
(Good luck getting that much money XD)
Hope this helps!
Rita's water tank contains 7.8 gallons of water. Rita will begin filling her water tank at a rate of 2.1 gallons per minute. Wendy's water tank contains 97.8 gallons of water. Wendy will begin draining her water tank at a rate of 0.9 gallon per minute. After how many minutes will both water tanks contain the same amount of water? 25 min 30 min 35 min 75 min
Answer:
30 minutes
Step-by-step explanation:
Given the following :
Rita's tank contains =7.8 gallons of water
Filling rate = 2.1 gallons per minute
Wendy's tank contains = 97.8 gallons
Drain rate =. 0.9 gallons per minute
After how many minutes will both contain the same amount of water.
Let number of minutes = m
Rita is filling :
Initial + increase
7.8 + 2.1m ----(1)
Wendy is emptying:
Initial - decrease
97.8 - 0.9m - - - (2)
Equate both ;
(1) = (2)
7.8 + 2.1m = 97.8 - 0.9m
2.1m + 0.9m = 97.8 - 7.8
3m = 90
m = 90 / 3
m = 30 minutes
describe the error in graphing the function .
and correct the error
What is the intersection of plane HGY and plane GEF?
GH
Step-by-step explanation:Hi !
GH ∈ (HGY)
GH ∈ (GEF) } => (HGY) ∩ (GEF) = GH
Good luck !
A set of points that lie in the same plane are collinear. True O False
Answer:
Step-by-step explanation:
two lines are guaranteed to be coplanar if they lie in the same plane
Answer:
it would be true
Step-by-step explanation:
its guaranteed
2. The second term of an arithmetic sequence is -5, and the third term is 12. What is the first term?
Answer: -12
Step-by-step explanation:
To get from -5 to 12, you'd add 7
So to get to the first, subtract 7 from -5
The first term of an arithmetic progression whose second term is -5 and third term is 12 is -22.
What is an Arithmetic progression?
An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant. A sequence -
a₁ , a₂, a₃ , a₄ ...... aₙ
will be an arithmetic progression if -
a₂ - a₁ = a₃ - a₂ = a₄ - a₃ = d (constant) is called common difference of A.P. and a₁ = 'a' as the first term.
Given is the second term of an arithmetic sequence which is -5 and the third term is 12.
We can calculate the nth term of an A.P. using the formula -
a[n] = a + (n - 1)d
Now -
a[2] = -5
a + (2 - 1)d = -5
a + d = - 5 ... [1]
and
a[3] = 12
a + (3 - 1)d = 12
a + 2d = 12 .... [2]
Expanding equation [2] further, we get -
(a + d) + d = 12
- 5 + d = 12
d = 17
Then -
a + d = -5
a = - 5 - d
a = -5 - 17
a = - 22
Therefore, the first term of an arithmetic progression whose second term is -5 and third term is 12 is -22.
To solve more questions on Arithmetic progression , visit the link below-
https://brainly.com/question/26064016
#SPJ5
Please help!!! Brainliest answer! Thank you
Answer:
112
Step-by-step explanation:
angle = 1/2(sum of Intercepted Arcs)
BFE = 1/2( 72+152)
= 1/2 ( 224)
= 112
Ms.Coreas is trying to grow some Yeast in her lab for a Bread experiment… She starts with only 1 yeast cell and needs at LEAST 4,000… If the yeast cells multiply by 4 every day, how many yeast will she have in 5 days? please hurry it is due today
Answer:
21 cells
Step-by-step explanation:
4x5+1=21
Cypress Middle School wants to have a fundraiser to buy art supplies. Fundraiser A will give the school $1.50 for each order placed plus $75 as a bonus. Fundraiser B will give the school $3.00 for each order placed, but no bonus. How many orders must be placed in order for the total amount of money earned by each fundraiser?
A. 150
B. 5
C. 17
D. 50
Answer:
A
Step-by-step explanation:
I don't know noya
Х2
х
1
1
xx
1 1
What’s the area of a squarw
Could you rephrase the question a bit? We can't tell what the numbers are... :)
The length of a side of a square is given by the expression 2x+1, and its perimeter is 56. Calculate the length of a side of the square.
Answer:
8x+4
Step-by-step explanation:
8x+4=56
56-4=52 52 divided 8 = 6.5
work out the perimeter of a semicircle with radius 3cm. give your answer in terms of pi
Answer:
[tex]\pi r + d \\ [/tex]
The circumference of a circle = 2πr
But here they asked half of the circumference = πr
By substituting this we get the answer 3π
Now add the diameter = 3π+6
what is the mode of the following set of numbers? 121, 347, 45, 21, 300, 614, 312, 333, 421 279.3 21 312 no mode
The mode of the following set of figures is no mode.
What's a mode?
The mode is a value that appears most frequently in a data set. A set of data can have one mode, further than one mode, or no mode at all. In statistics, the value that constantly appears in a particular set is appertained to as the mode.
The mode or modal value in a data set is occasionally appertained to as the value or number that occurs most constantly in the data set.
In addition to mean and standard, it's one of the three measures of central tendency.
For case, the set" 3, 7, 8, 8, 9" has an 8 as its mode.
thus, we can snappily determine the mode given a finite number of compliances. There could be one mode, several modes, or none at all for a given collection of values.
To determine if a set of data has a mode, look for the value that occurs most constantly( the mode) because it can do further than formerly, or there may be no mode at all.
thus, the mode of the following set of figures is no mode.
Learn more about mode here:
https://brainly.com/question/30891252
#SPJ11
a card is drawn from a standard deck and replaced. after the deck is shuffled, another card is pulled. what is the probability that the first card drawn is a heart and the second card is a spade? (enter your probability as a fraction.)
If a card is drawn from a standard deck and replaced. after the deck is shuffled, another card is pulled. Then the probability that the first card drawn is a heart and the second card is a spade is 1/16.
The probability of drawing a heart on the first card is 1/4 since there are 13 hearts out of a total of 52 cards in a standard deck.
After replacing the card and shuffling the deck, the probability of drawing a spade on the second card is also 1/4 since there are 13 spades out of a total of 52 cards in the deck (assuming the deck is well-shuffled).
To find the probability of both events happening (drawing a heart and then a spade), we multiply the individual probabilities together:
Probability = (1/4) * (1/4) = 1/16
Therefore, the probability that the first card drawn is a heart and the second card is a spade is 1/16.
To learn more about probability: https://brainly.com/question/13604758
#SPJ11
1. Two angles have the same value if they are complementary angles. TRUE FALSE
Answer: False
Step-by-step explanation: If two angles are complementary,
then the sum of their measures is 90 degrees.
In other words, any two angles whose sum is 90 when
their measures are added together are complementary angles.
Take a look at the angles below.
Do they have the same value?
Well obviously no, they don't so they aren't congruent.
However, they are still complementary because
the sum of their measures is 90 degrees.
Evaluate 0.3 + y/2 when y = 10 and z =5
We have to evaluate the value of the expression 0.3y + y/z at y=10 and z =5 0.3y + y/z
= (0.3 X y) + y/z
Substituting the values of y and z in the above expression,
= (0.3 x 10 ) + 10/5
= 3 + 2
=5
So, the value of the given expression is 5
Have A Nice Day/Night
Question 4 of 10
Solve the inequality for x and identify the graph of its solution.
|x+31 > 2
Choose the answer that gives both the correct solution and the correct graph.
A. Solution: x < -5 or x>-1
HI
10
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
B. Solution: x>-5 and x < -1
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
C. Solution: x> 1 and x<5
H||$11
-2 -1 0 1 2 3 4
D. Solution: x<-5 or x>-1
o + +
5 6 7 8
H||$||
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
The correct answer is option D. Solution: x < -5 or x > -1, and the correct graph would have open circles at -33 and -29 with shading to the left of -33 and to the right of -29 on a number line.
To solve the inequality |x+31 > 2|, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: x+31 > 2
In this case, we can solve the inequality by subtracting 31 from both sides:
x + 31 - 31 > 2 - 31
x > -29
Case 2: -(x+31) > 2
To solve this case, we need to flip the inequality sign when multiplying or dividing by a negative number:
x + 31 < -2
x < -33
The solution to the inequality is x < -33 or x > -29.
Now, let's analyze the given answer choices and identify the correct solution and graph:
A. Solution: x < -5 or x > -1
This answer choice does not match the solution we derived, so it is incorrect.
B. Solution: x > -5 and x < -1
This answer choice does not match the solution we derived, so it is incorrect.
C. Solution: x > 1 and x < 5
This answer choice does not match the solution we derived, so it is incorrect.
D. Solution: x < -5 or x > -1
This answer choice matches the solution we derived (x < -33 or x > -29), so it is correct.
Based on the correct solution, the graph would have an open circle at -33 and -29 on a number line, indicating that the values are not included in the solution set. The line would be shaded to the left of -33 and to the right of -29.
The correct answer is option D. Solution: x < -5 or x > -1, and the correct graph would have open circles at -33 and -29 with shading to the left of -33 and to the right of -29 on a number line.
for such more question on graph
https://brainly.com/question/19040584
#SPJ8
La profesora de sexto grado coloca en la pizarra los siguientes números, y les pide a sus estudiantes determinar el MCD de dichas cifras:
180 - 225
¿Cuál será la respuesta correcta que darán los estudiantes?
A. 90
B. 60
C. 45
D. 15 La profesora de sexto grado coloca en la pizarra los siguientes números, y les pide a sus estudiantes determinar el MCD de dichas cifras:
180 - 225
¿Cuál será la respuesta correcta que darán los estudiantes?
A. 90
B. 60
C. 45
D. 15
15 is the GCD of 45 and 15.
The teacher of the sixth grade places the following numbers on the board and asks her students to determine the GCD of these digits:C. 45D. 15GCD (45, 15) or the Greatest Common Divisor of 45 and 15 is the largest number that divides both 45 and 15 without leaving a remainder.The prime factorization of 45 is as follows:45 = 3 x 3 x 5To get the prime factorization of a number, divide it by its smallest prime factor (which is 3 in this case) and then divide the resulting quotient by its smallest prime factor, if possible. This operation is repeated until a prime number is reached.The prime factorization of 15 is as follows:15 = 3 x 5Thus, the common factors between 45 and 15 are 3 and 5, and the highest common factor is 3 x 5 = 15, which is the Greatest Common Divisor.GCD (45, 15) = 15
for more search question GCD
https://brainly.com/question/219464
#SPJ8
given allowable stresses in steel and concrete of 150mpa and 12mpa, respectively, calculate the maximum bending moment the section can carry
Given allowable stresses in steel and concrete of 150MPa and 12MPa, respectively, the maximum bending moment that the section can carry can be determined as follows:
Assuming the section is made up of steel and concrete, it is essential to consider the stresses on both materials. By considering the material properties of the section, the overall strength of the section can be obtained.
Therefore, the bending moment that a section can carry can be given by the formula:
M = σ_s * Z_s + σ_c * Z_c
Where: M = Maximum bending moment that the section can carry
σ_s = Maximum allowable stress in steel
Z_s = Section modulus of steel
σ_c = Maximum allowable stress in concrete
Z_c = Section modulus of concrete
Therefore, the maximum bending moment that the section can carry = 150*Z_s + 12*Z_c
To determine the section modulus of the steel and concrete, we can use the formula:
Z = I/y
whereZ = section modulus
I = Moment of Inertia of the section
y = distance of the neutral axis to the extreme fibre
By determining the section modulus of the steel and concrete, the maximum bending moment that the section can carry can be calculated.
To know more about section modulus visit :
https://brainly.com/question/30756002
#SPJ11
If 5 gallons of milk costs $12, how much should 1 pint cost?
Answer:
$1.50
Step-by-step explanation:
There are 8 pints in a gallon so divide 12 and 8 to find the cost of 1 pint
Reduce the expression, if possible, by cancelling the common factors.
A worker-machine operation was found to involve 3.5 minutes of machine time per cycle in the course of 40 cycles of stopwatch study. The worker's time averaged 2.0 minutes per cycle, and the worker was given a rating of 110 percent (machine rating is 100 percent) Midway through the study, the worker took a 10-minute rest break. Assuming an allowance factor of 10 percent of work time which is applied only to the worker element (not the machine element), determine the standard time for this job. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Standard time___ minutes
The standard time for this job is 253 minutes.
To determine the standard time for this job, we need to calculate the total time for both the worker and the machine, taking into account the rest break and the allowance factor.
First, let's calculate the total time for the machine. We know that it takes 3.5 minutes of machine time per cycle, and there were 40 cycles in total. So, the total machine time is 3.5 minutes/cycle * 40 cycles = 140 minutes.
Next, let's calculate the total time for the worker. We know that the worker's time averaged 2.0 minutes per cycle, and there were 40 cycles in total. So, the total worker time is 2.0 minutes/cycle * 40 cycles = 80 minutes.
Now, let's calculate the rest break time. The worker took a 10-minute rest break midway through the study.
Next, let's calculate the allowance time. The allowance factor is 10 percent of the work time, which is applied only to the worker element. The work time is the total time for both the worker and the machine, which is 140 minutes for the machine + 80 minutes for the worker + 10 minutes for the rest break = 230 minutes. Therefore, the allowance time is 10 percent of 230 minutes = 23 minutes.
Finally, let's calculate the standard time for this job. The standard time is the total time for both the worker and the machine, including the rest break and the allowance time. So, the standard time is 230 minutes (work time) + 23 minutes (allowance time) = 253 minutes.
Learn more about standard time here:-
https://brainly.com/question/14230612
#SPJ11
what is 0.000750 in scientific notation?
Answer:
7.5 × 10-4
Step-by-step explanation:
Answer: 7.5x10^-4
Step-by-step explanation:
can someone help? and explain
HELP NOW What is the X and Y intercept of the graph of by+ax=c
Answer:
X int = (1,0) y int= (0,1)
Step-by-step explanation:
what the answer for this pls help me its way too complicated thank you very very much
The product of the given expressions 6 × x × y and 2 × x × 3 × y are both equivalent to 6xy.
How to find product?Multiplication is another term for product and it is the process of finding the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects.
6 × x × y
= 6xy
2 × x × 3 × y
= 6xy
Hence, 6 × x × y and 2 × x × 3 × y equals 6xy.
Read more on multiplication:
https://brainly.com/question/28768606
#SPJ1
25, 21, 26, 24, 29, 34, 29, 25, 20, 23
Find the IQR of the data set.
Previous
Answer:
6
Step-by-step explanation:
I used a calculator hope its correct
What observations do you notice about TB tests based on the tree diagram? (Hint: What do the numbers of the tree diagram represent?)
